<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<!--NewPage-->
<HTML>
<HEAD>
<META http-equiv="Content-Type" content="text/html; charset=UTF-8">
<TITLE>
WilcoxonSignedRankTest (Commons Math 3.2 API)
</TITLE>


<LINK REL ="stylesheet" TYPE="text/css" HREF="../../../../../../stylesheet.css" TITLE="Style">

<SCRIPT type="text/javascript">
function windowTitle()
{
    if (location.href.indexOf('is-external=true') == -1) {
        parent.document.title="WilcoxonSignedRankTest (Commons Math 3.2 API)";
    }
}
</SCRIPT>
<NOSCRIPT>
</NOSCRIPT>

</HEAD>

<BODY BGCOLOR="white" onload="windowTitle();">
<HR>


<!-- ========= START OF TOP NAVBAR ======= -->
<A NAME="navbar_top"><!-- --></A>
<A HREF="#skip-navbar_top" title="Skip navigation links"></A>
<TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY="">
<TR>
<TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1">
<A NAME="navbar_top_firstrow"><!-- --></A>
<TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY="">
  <TR ALIGN="center" VALIGN="top">
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../../../../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="package-summary.html"><FONT CLASS="NavBarFont1"><B>Package</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> &nbsp;<FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="class-use/WilcoxonSignedRankTest.html"><FONT CLASS="NavBarFont1"><B>Use</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="package-tree.html"><FONT CLASS="NavBarFont1"><B>Tree</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../../../../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../../../../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../../../../../help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A>&nbsp;</TD>
  </TR>
</TABLE>
</TD>
<TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM>
</EM>
</TD>
</TR>

<TR>
<TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
&nbsp;<A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html" title="class in org.apache.commons.math3.stat.inference"><B>PREV CLASS</B></A>&nbsp;
&nbsp;NEXT CLASS</FONT></TD>
<TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
  <A HREF="../../../../../../index.html?org/apache/commons/math3/stat/inference/WilcoxonSignedRankTest.html" target="_top"><B>FRAMES</B></A>  &nbsp;
&nbsp;<A HREF="WilcoxonSignedRankTest.html" target="_top"><B>NO FRAMES</B></A>  &nbsp;
&nbsp;<SCRIPT type="text/javascript">
  <!--
  if(window==top) {
    document.writeln('<A HREF="../../../../../../allclasses-noframe.html"><B>All Classes</B></A>');
  }
  //-->
</SCRIPT>
<NOSCRIPT>
  <A HREF="../../../../../../allclasses-noframe.html"><B>All Classes</B></A>
</NOSCRIPT>


</FONT></TD>
</TR>
<TR>
<TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
  SUMMARY:&nbsp;NESTED&nbsp;|&nbsp;FIELD&nbsp;|&nbsp;<A HREF="#constructor_summary">CONSTR</A>&nbsp;|&nbsp;<A HREF="#method_summary">METHOD</A></FONT></TD>
<TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
DETAIL:&nbsp;FIELD&nbsp;|&nbsp;<A HREF="#constructor_detail">CONSTR</A>&nbsp;|&nbsp;<A HREF="#method_detail">METHOD</A></FONT></TD>
</TR>
</TABLE>
<A NAME="skip-navbar_top"></A>
<!-- ========= END OF TOP NAVBAR ========= -->

<HR>
<!-- ======== START OF CLASS DATA ======== -->
<H2>
<FONT SIZE="-1">
org.apache.commons.math3.stat.inference</FONT>
<BR>
Class WilcoxonSignedRankTest</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
  <IMG SRC="../../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math3.stat.inference.WilcoxonSignedRankTest</B>
</PRE>
<HR>
<DL>
<DT><PRE>public class <B>WilcoxonSignedRankTest</B><DT>extends <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></DL>
</PRE>

<P>
An implementation of the Wilcoxon signed-rank test.
<P>

<P>
<DL>
<DT><B>Version:</B></DT>
  <DD>$Id: WilcoxonSignedRankTest.java 1416643 2012-12-03 19:37:14Z tn $</DD>
</DL>
<HR>

<P>

<!-- ======== CONSTRUCTOR SUMMARY ======== -->

<A NAME="constructor_summary"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
<TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
<B>Constructor Summary</B></FONT></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/WilcoxonSignedRankTest.html#WilcoxonSignedRankTest()">WilcoxonSignedRankTest</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Create a test instance where NaN's are left in place and ties get
 the average of applicable ranks.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/WilcoxonSignedRankTest.html#WilcoxonSignedRankTest(org.apache.commons.math3.stat.ranking.NaNStrategy, org.apache.commons.math3.stat.ranking.TiesStrategy)">WilcoxonSignedRankTest</A></B>(<A HREF="../../../../../../org/apache/commons/math3/stat/ranking/NaNStrategy.html" title="enum in org.apache.commons.math3.stat.ranking">NaNStrategy</A>&nbsp;nanStrategy,
                       <A HREF="../../../../../../org/apache/commons/math3/stat/ranking/TiesStrategy.html" title="enum in org.apache.commons.math3.stat.ranking">TiesStrategy</A>&nbsp;tiesStrategy)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Create a test instance using the given strategies for NaN's and ties.</TD>
</TR>
</TABLE>
&nbsp;
<!-- ========== METHOD SUMMARY =========== -->

<A NAME="method_summary"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
<TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
<B>Method Summary</B></FONT></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/WilcoxonSignedRankTest.html#wilcoxonSignedRank(double[], double[])">wilcoxonSignedRank</A></B>(double[]&nbsp;x,
                   double[]&nbsp;y)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Computes the <a
 href="http://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test">
 Wilcoxon signed ranked statistic</a> comparing mean for two related
 samples or repeated measurements on a single sample.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/WilcoxonSignedRankTest.html#wilcoxonSignedRankTest(double[], double[], boolean)">wilcoxonSignedRankTest</A></B>(double[]&nbsp;x,
                       double[]&nbsp;y,
                       boolean&nbsp;exactPValue)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the <i>observed significance level</i>, or <a href=
 "http://www.cas.lancs.ac.uk/glossary_v1.1/hyptest.html#pvalue">
 p-value</a>, associated with a <a
 href="http://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test">
 Wilcoxon signed ranked statistic</a> comparing mean for two related
 samples or repeated measurements on a single sample.</TD>
</TR>
</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left"><B>Methods inherited from class java.lang.<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></B></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</A></CODE></TD>
</TR>
</TABLE>
&nbsp;
<P>

<!-- ========= CONSTRUCTOR DETAIL ======== -->

<A NAME="constructor_detail"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
<TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
<B>Constructor Detail</B></FONT></TH>
</TR>
</TABLE>

<A NAME="WilcoxonSignedRankTest()"><!-- --></A><H3>
WilcoxonSignedRankTest</H3>
<PRE>
public <B>WilcoxonSignedRankTest</B>()</PRE>
<DL>
<DD>Create a test instance where NaN's are left in place and ties get
 the average of applicable ranks. Use this unless you are very sure
 of what you are doing.
<P>
</DL>
<HR>

<A NAME="WilcoxonSignedRankTest(org.apache.commons.math3.stat.ranking.NaNStrategy, org.apache.commons.math3.stat.ranking.TiesStrategy)"><!-- --></A><H3>
WilcoxonSignedRankTest</H3>
<PRE>
public <B>WilcoxonSignedRankTest</B>(<A HREF="../../../../../../org/apache/commons/math3/stat/ranking/NaNStrategy.html" title="enum in org.apache.commons.math3.stat.ranking">NaNStrategy</A>&nbsp;nanStrategy,
                              <A HREF="../../../../../../org/apache/commons/math3/stat/ranking/TiesStrategy.html" title="enum in org.apache.commons.math3.stat.ranking">TiesStrategy</A>&nbsp;tiesStrategy)</PRE>
<DL>
<DD>Create a test instance using the given strategies for NaN's and ties.
 Only use this if you are sure of what you are doing.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>nanStrategy</CODE> - specifies the strategy that should be used for Double.NaN's<DD><CODE>tiesStrategy</CODE> - specifies the strategy that should be used for ties</DL>
</DL>

<!-- ============ METHOD DETAIL ========== -->

<A NAME="method_detail"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
<TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
<B>Method Detail</B></FONT></TH>
</TR>
</TABLE>

<A NAME="wilcoxonSignedRank(double[], double[])"><!-- --></A><H3>
wilcoxonSignedRank</H3>
<PRE>
public double <B>wilcoxonSignedRank</B>(double[]&nbsp;x,
                                 double[]&nbsp;y)
                          throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                 <A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A>,
                                 <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></PRE>
<DL>
<DD>Computes the <a
 href="http://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test">
 Wilcoxon signed ranked statistic</a> comparing mean for two related
 samples or repeated measurements on a single sample.
 <p>
 This statistic can be used to perform a Wilcoxon signed ranked test
 evaluating the null hypothesis that the two related samples or repeated
 measurements on a single sample has equal mean.
 </p>
 <p>
 Let X<sub>i</sub> denote the i'th individual of the first sample and
 Y<sub>i</sub> the related i'th individual in the second sample. Let
 Z<sub>i</sub> = Y<sub>i</sub> - X<sub>i</sub>.
 </p>
 <p>
 <strong>Preconditions</strong>:
 <ul>
 <li>The differences Z<sub>i</sub> must be independent.</li>
 <li>Each Z<sub>i</sub> comes from a continuous population (they must be
 identical) and is symmetric about a common median.</li>
 <li>The values that X<sub>i</sub> and Y<sub>i</sub> represent are
 ordered, so the comparisons greater than, less than, and equal to are
 meaningful.</li>
 </ul>
 </p>
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the first sample<DD><CODE>y</CODE> - the second sample
<DT><B>Returns:</B><DD>wilcoxonSignedRank statistic (the larger of W+ and W-)
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if <code>x</code> or <code>y</code> are <code>null</code>.
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A></CODE> - if <code>x</code> or <code>y</code> are zero-length.
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if <code>x</code> and <code>y</code> do not
 have the same length.</DL>
</DD>
</DL>
<HR>

<A NAME="wilcoxonSignedRankTest(double[], double[], boolean)"><!-- --></A><H3>
wilcoxonSignedRankTest</H3>
<PRE>
public double <B>wilcoxonSignedRankTest</B>(double[]&nbsp;x,
                                     double[]&nbsp;y,
                                     boolean&nbsp;exactPValue)
                              throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                     <A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A>,
                                     <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                     <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</A>,
                                     <A HREF="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</A>,
                                     <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD>Returns the <i>observed significance level</i>, or <a href=
 "http://www.cas.lancs.ac.uk/glossary_v1.1/hyptest.html#pvalue">
 p-value</a>, associated with a <a
 href="http://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test">
 Wilcoxon signed ranked statistic</a> comparing mean for two related
 samples or repeated measurements on a single sample.
 <p>
 Let X<sub>i</sub> denote the i'th individual of the first sample and
 Y<sub>i</sub> the related i'th individual in the second sample. Let
 Z<sub>i</sub> = Y<sub>i</sub> - X<sub>i</sub>.
 </p>
 <p>
 <strong>Preconditions</strong>:
 <ul>
 <li>The differences Z<sub>i</sub> must be independent.</li>
 <li>Each Z<sub>i</sub> comes from a continuous population (they must be
 identical) and is symmetric about a common median.</li>
 <li>The values that X<sub>i</sub> and Y<sub>i</sub> represent are
 ordered, so the comparisons greater than, less than, and equal to are
 meaningful.</li>
 </ul>
 </p>
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - the first sample<DD><CODE>y</CODE> - the second sample<DD><CODE>exactPValue</CODE> - if the exact p-value is wanted (only works for x.length <= 30,
            if true and x.length > 30, this is ignored because
            calculations may take too long)
<DT><B>Returns:</B><DD>p-value
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if <code>x</code> or <code>y</code> are <code>null</code>.
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A></CODE> - if <code>x</code> or <code>y</code> are zero-length.
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if <code>x</code> and <code>y</code> do not
 have the same length.
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</A></CODE> - if <code>exactPValue</code> is <code>true</code>
 and <code>x.length</code> > 30
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</A></CODE> - if the p-value can not be computed due to
 a convergence error
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE> - if the maximum number of iterations
 is exceeded</DL>
</DD>
</DL>
<!-- ========= END OF CLASS DATA ========= -->
<HR>


<!-- ======= START OF BOTTOM NAVBAR ====== -->
<A NAME="navbar_bottom"><!-- --></A>
<A HREF="#skip-navbar_bottom" title="Skip navigation links"></A>
<TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY="">
<TR>
<TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1">
<A NAME="navbar_bottom_firstrow"><!-- --></A>
<TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY="">
  <TR ALIGN="center" VALIGN="top">
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../../../../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="package-summary.html"><FONT CLASS="NavBarFont1"><B>Package</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> &nbsp;<FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="class-use/WilcoxonSignedRankTest.html"><FONT CLASS="NavBarFont1"><B>Use</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="package-tree.html"><FONT CLASS="NavBarFont1"><B>Tree</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../../../../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../../../../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A>&nbsp;</TD>
  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../../../../../help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A>&nbsp;</TD>
  </TR>
</TABLE>
</TD>
<TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM>
</EM>
</TD>
</TR>

<TR>
<TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
&nbsp;<A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html" title="class in org.apache.commons.math3.stat.inference"><B>PREV CLASS</B></A>&nbsp;
&nbsp;NEXT CLASS</FONT></TD>
<TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
  <A HREF="../../../../../../index.html?org/apache/commons/math3/stat/inference/WilcoxonSignedRankTest.html" target="_top"><B>FRAMES</B></A>  &nbsp;
&nbsp;<A HREF="WilcoxonSignedRankTest.html" target="_top"><B>NO FRAMES</B></A>  &nbsp;
&nbsp;<SCRIPT type="text/javascript">
  <!--
  if(window==top) {
    document.writeln('<A HREF="../../../../../../allclasses-noframe.html"><B>All Classes</B></A>');
  }
  //-->
</SCRIPT>
<NOSCRIPT>
  <A HREF="../../../../../../allclasses-noframe.html"><B>All Classes</B></A>
</NOSCRIPT>


</FONT></TD>
</TR>
<TR>
<TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
  SUMMARY:&nbsp;NESTED&nbsp;|&nbsp;FIELD&nbsp;|&nbsp;<A HREF="#constructor_summary">CONSTR</A>&nbsp;|&nbsp;<A HREF="#method_summary">METHOD</A></FONT></TD>
<TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
DETAIL:&nbsp;FIELD&nbsp;|&nbsp;<A HREF="#constructor_detail">CONSTR</A>&nbsp;|&nbsp;<A HREF="#method_detail">METHOD</A></FONT></TD>
</TR>
</TABLE>
<A NAME="skip-navbar_bottom"></A>
<!-- ======== END OF BOTTOM NAVBAR ======= -->

<HR>
Copyright &#169; 2003-2013 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All Rights Reserved.
</BODY>
</HTML>
